106801455294 has 144 divisors (see below), whose sum is σ = 250826284800. Its totient is φ = 32749614144.

The previous prime is 106801455289. The next prime is 106801455301. The reversal of 106801455294 is 492554108601.

106801455294 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 1 + 4 + 552 + 94 = 666.

It is a super-2 number, since 2×106801455294² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102792027 + ... + 102793065.

It is an arithmetic number, because the mean of its divisors is an integer number (1741849200).

Almost surely, 2^106801455294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106801455294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125413142400).

106801455294 is an abundant number, since it is smaller than the sum of its proper divisors (144024829506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106801455294 is a wasteful number, since it uses less digits than its factorization.

106801455294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 106801455294 in words is "one hundred six billion, eight hundred one million, four hundred fifty-five thousand, two hundred ninety-four".